What is the domain of (x-1)/((x+3)(x-2)) ?

The domain of (x-1)/((x+3)(x-2)) is x 2

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domain of (x-1)/((x+3)(x-2))

domain

\frac{x - 1}{( x + 3 ) ( x - 2 )}

x < - 3 or - 3 < x < 2 or x > 2

Interval Notation

(- \infty, - 3) \cup (- 3, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = 2

The function domain

x < - 3 or - 3 < x < 2 or x > 2

\frac{( tan ( x - 1 ) )}{( tan ( x + 1 ) )}

f (x) = arcsin (2 x^{2} - 1)

(1, - 5), (7, 1)

x^{3} - 2 x^{2} - 4 x

y = (x - 1)^{2} (x - 2)^{3}

What is the domain of (x-1)/((x+3)(x-2)) ?
The domain of (x-1)/((x+3)(x-2)) is x<-3\lor-3<x<2\lor x>2